## Algebra 1

$-|m|=|-m|$ is sometimes true.
The negative (opposite) of an absolute value will always be negative, while an absolute value will never be negative. The only time this equation is true is when m is 0, since 0 and -0 have the same value. For example, let m=-5. $-|-5|\overset?=|-(-5)|$ $-5\ne5$ For example, let m=0. $-|0|\overset?=|-0|$ $-0=0$